The table shows the annual consumption of cheese per person in the united states for selected years in the twentieth century. use a cubic model to estimate milk production in 1978. year | pounds consumed 1908 | 3.255 1937 | 9.053 1959 | 17.837 1996 | 58.395

The general form of a cubic model is given by:



Let x represent the number of years after 1900, then from the table, we have:



Solving equations (1), (2), (3) and (4) simultaneously we get:

a = 0.00008956;    b = -0.005398;    c = 0.2884;    d = 1.2175

Therefore, the cubic cubic model that estimates the annual consumption of cheese per person in the United States x years after 1900 is given by:



Therefore, an estimate of the annual consumption of cheese per person in the United States in 1978 (78 years after 1900) is given by: